Composite cylinders are generally used as primary load carrying structures. Their constitutive behavior up to failure is crucial for a critical design. This paper focuses on the ultimate flexural strength of a polymer based composite cylinder subjected to bending. In such a case, the outmost filament of the cylinder subjected to the maximum bending stress fails the first. The complexity, however, lies in the fact that the failure of this outmost filament generally does not correspond to the ultimate failure. Additional loads can still be applied to the cylinder and a progressive failure process will result. To deal with such a problem in this paper, the cylinder is discretized into a number of lamina layers with different widths. The bridging micromechanics model [Huang, Z. M., Composites Part A, 2001] combined with the classical lamination theory has been applied to understand the progressive failure process generated in the cylinder. Only its constituent fiber and matrix properties under bending are necessary for this understanding and reasonably good accuracy has been achieved. However, the ultimate failure of the cylinder cannot be figured out only based on a stress failure criterion, as one cannot know a priori which ply failure corresponds to the ultimate failure. An additional critical deflection (curvature) condition must be employed also. By using both the stress and the deflection conditions, the estimated ultimate strength of the cylinder agreed well with an experimental measurement.

1.
Ramakrishna
,
S.
,
Mayer
,
J.
,
Wintermantel
,
E.
, and
Leong
,
K. W.
, 2001, “
Biomedical Applications of Polymer-Composite Materials: A Review
,”
Compos. Sci. Technol.
0266-3538,
61
, pp.
1189
1224
.
2.
Watari
,
F.
,
Yamagata
,
S.
,
Imai
,
T.
, and
Nakamura
,
S.
, 1998, “
The Fabrication and Properties of Aesthetic FRP Wires for use in Orthodontics
,”
J. Mater. Sci.
0022-2461,
33
, pp.
5661
5664
.
3.
Toyoizumi
,
H.
,
Watari
,
F.
,
Imai
,
T.
,
Yamagata
,
S.
, and
Kobayashi
,
M.
, 1999, “
Fabrication of Aesthetic Wires with Flexural and Torsional Stiffness by Photo Curing Method
,”
The Journal of the Japanese Society for Dental Materials and Devices
,
18
, pp.
429
440
.
4.
Fallis
,
D. W.
, and
Kusy
,
R. P.
, 2000, “
Variation in Flexural Properties of Photo-pultruded Composite Archwires: Analyses of Round and Rectangular Profiles
,”
J. Mater. Sci.: Mater. Med.
0957-4530,
11
, pp.
683
693
.
5.
Bhattacharyya
,
A.
, and
Appiah
,
E. J.
, 2000, “
On the Exact Solution of Elastoplastic Response of an Infinitely Long Composite Cylinder during Cyclic Radial Loading
,”
J. Mech. Phys. Solids
0022-5096,
48
, pp.
1065
1092
.
6.
Starbuck
,
J. M.
, 1999, “
Stress Analysis of Laminated Composite Cylinders under NonAxisymmetric Loading
,”
International SAMPE technical Conference
,
31
, pp.
604
615
.
7.
Whitney
,
J. M.
,
Browning
,
C. E.
, and
Mair
,
A.
, 1974, “
Analysis of the Flexure Test for Laminated Composite Materials
,”
Composite Materials: Testing and Design, ASTM STP 5 46
,
American Society for Testing and Materials
, pp.
30
45
.
8.
Turvey
,
G. J.
, 1982, “
Uniformly Loaded, Antisymmetric Cross-Ply Laminated, Rectangular Plates: An Initial Flextural Failure Analysis
,”
Fibre Sci. Technol.
0015-0568,
16
, pp.
1
10
.
9.
Dvorak
,
G. J.
, and
Laws
,
N.
, 1987, “
Analysis of Progressive Matrix Cracking in Composite Laminates II: First Ply Failure
,”
J. Compos. Mater.
0021-9983,
21
, pp.
309
329
.
10.
Grief
,
R.
, and
Chapon
,
E.
, 1993, “
Investigation of Successive Failure modes in Graphite/Epoxy Laminated Composite Beams
,”
J. Reinf. Plast. Compos.
0731-6844,
12
, pp.
602
621
.
11.
Kam
,
T. Y.
, and
Sher
,
H. F.
, 1995, “
Nonlinear and First-Ply Failure Analyses of Laminated Composite Cross-Ply Plates
,”
J. Compos. Mater.
0021-9983,
29
, pp.
463
482
.
12.
Echaabi
,
J.
,
Trochu
,
F.
,
Pham
,
X. T.
, and
Ouellet
,
M.
, 1996, “
Theoretical and Experimental Investigation of Failure and Damage Progression of Graphite-Epoxy Composites in Flexural Bending Test
,”
J. Reinf. Plast. Compos.
0731-6844,
15
, pp.
740
755
.
13.
Smith
,
P. A.
, and
Ogin
,
S. L.
, 1999, “
On Transverse Matrix Cracking in Cross-Ply Laminates Loaded in Simple Bending
,”
Composites, Part A
1359-835X,
30
, pp.
1003
1008
.
14.
Huang
,
Z. M.
,
Teng
,
X. C.
, and
Ramakrishna
,
S.
, 2001, “
Bending Behavior of Laminated Knitted Fabric Reinforced Beams
,”
Advanced Composites Lett.
,
10
, pp.
211
218
.
15.
Huang
,
Z. M.
, 2001, “
Simulation of the Mechanical Properties of Fibrous Composites by the Bridging Micromechanics Model
,”
Composites, Part A
1359-835X,
32
, pp.
143
172
.
16.
Huang
,
Z. M.
, 1999, “
Micromechanical Strength Formulae of Unidirectional Composites
,”
Mater. Lett.
0167-577X,
40
, pp.
164
169
.
17.
Huang
,
Z. M.
, 2001, “
Modeling Strength of Multidirectional Laminates under Thermo-Mechanical Loads
,”
J. Compos. Mater.
0021-9983,
35
, pp.
281
315
.
18.
Soden
,
P. D.
,
Hinton
,
M. J.
, and
Kaddour
,
A. S.
, 1998, “
Lamina Properties, Lay-up Configurations and Loading Conditions for a Range of Fiber-Reinforced Composite Laminates
,”
Compos. Sci. Technol.
0266-3538,
58
, pp.
1011
1022
.
19.
Huang
,
Z. M.
, 2004, “
A Bridging Model Prediction of the Ultimate Strength of Composite Laminates Subjected to Biaxial Loads
,”
Compos. Sci. Technol.
0266-3538,
64
, pp.
395
448
.
20.
Huang
,
Z. M.
, 2004, “
Correlation of the Bridging Model Predictions of the Biaxial Failure Strengths of Fibrous Laminates With Experiments
,”
Compos. Sci. Technol.
0266-3538,
64
, pp.
529
548
.
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